162725407101 has 12 divisors (see below), whose sum is σ = 235091080380. Its totient is φ = 108463633920.

The previous prime is 162725407081. The next prime is 162725407121. The reversal of 162725407101 is 101704527261.

162725407101 is a `hidden beast` number, since 1 + 6 + 2 + 7 + 2 + 540 + 7 + 101 = 666.

It is an interprime number because it is at equal distance from previous prime (162725407081) and next prime (162725407121).

It can be written as a sum of positive squares in 2 ways, for example, as 87556218201 + 75169188900 = 295899^2 + 274170^2 .

It is not a de Polignac number, because 162725407101 - 2⁵ = 162725407069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162725407121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1612546 + ... + 1710483.

It is an arithmetic number, because the mean of its divisors is an integer number (19590923365).

Almost surely, 2^162725407101 is an apocalyptic number.

It is an amenable number.

162725407101 is a deficient number, since it is larger than the sum of its proper divisors (72365673279).

162725407101 is a wasteful number, since it uses less digits than its factorization.

162725407101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328476 (or 3328473 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 162725407101 in words is "one hundred sixty-two billion, seven hundred twenty-five million, four hundred seven thousand, one hundred one".